Abstract

We propose a conservative multi-moment method based on 3rd order polynomial interpolation functions and
the essentially non-oscillatory (ENO) scheme. The proposed method employs two multi-moment based 3rd
order polynomial interpolation functions using two different stencils where the locally smoothest stencil is
selected. It is 4th order accurate in the benchmark sine-wave propagation test. Numerical oscillations around
discontinuities are minimised for various benchmark problems, for both uniform and non-uniform velocity
fields.